The paper explores the analogy between reducibility statements of Weihranch’s theory of representations and theorems of constructive mathematics which can be reformulated as inclusions between sets. Kleene’s functionrealizability is the key to understanding of the analogy, and suggests an alternative way of looking at the theory of reducibilities.
CITATION STYLE
Troelstra, A. S. (1992). Comparing the theory of representations and constructive mathematics. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 626 LNCS, pp. 382–395). Springer Verlag. https://doi.org/10.1007/bfb0023783
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